环形梁受冲击时塑性动力响应分析

The Analysis of Dynamic Plastic Response Properties of a Circular Beam Subjected to Impact

本文基于刚塑性假设,对环形悬臂梁在自由端受一刚性质量径向冲击时的塑性动力响应问题进行了分析与研究。采用正则摄动法,求出了由有限项初等函数所构成的渐近解。通过解析分析,还给出了响应速度V的级数形式的精确解,并由此发现了环形梁塑性动力响应的特殊性质。

In this paper, an investigation is made on the plastic behavior of a circular beam subjected to radial impact at its tip by a rigid mass. The asymptotic solutions composed of finite terms of elementary functions are obtained by regular perturbation method. Through analytical analysis,an accurate solution of response velocity v in its series form is also given, whereby the dynamic response process of the circular beam is found to have its own special properties differing from those of the straight cantilever beam.